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163739472 = 24313534951
BaseRepresentation
bin10011100001001…
…11011101010000
3102102002211022220
421300213131100
5313404130342
624125301040
74025522361
oct1160473520
9372084286
10163739472
1184476986
1246a04780
1327bcc880
1417a63b68
15e5955ec
hex9c27750

163739472 has 80 divisors (see below), whose sum is σ = 464220288. Its totient is φ = 49420800.

The previous prime is 163739453. The next prime is 163739479. The reversal of 163739472 is 274937361.

It is a super-2 number, since 2×1637394722 = 53621229381677568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163739479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30597 + ... + 35547.

Almost surely, 2163739472 is an apocalyptic number.

163739472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163739472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232110144).

163739472 is an abundant number, since it is smaller than the sum of its proper divisors (300480816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163739472 is a wasteful number, since it uses less digits than its factorization.

163739472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 5022 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 163739472 is about 12796.0725224578. The cubic root of 163739472 is about 547.0803656762.

The spelling of 163739472 in words is "one hundred sixty-three million, seven hundred thirty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1378 2067 2544 2756 4134 4951 5512 8268 9902 11024 14853 16536 19804 29706 33072 39608 59412 64363 79216 118824 128726 193089 237648 257452 262403 386178 514904 524806 772356 787209 1029808 1049612 1544712 1574418 2099224 3089424 3148836 3411239 4198448 6297672 6822478 10233717 12595344 13644956 20467434 27289912 40934868 54579824 81869736 163739472